$L^p-L^q$ Carleman estimates with convex power weights

TL;DR

This paper establishes new $L^p-L^q$ Carleman estimates using convex power weights, expanding the mathematical tools available for analysis in partial differential equations.

Contribution

It extends previous work by deriving $L^p-L^q$ Carleman estimates with convex power weights, broadening the scope of applicable weights in the field.

Findings

Derived new $L^p-L^q$ Carleman estimates with convex weights

Extended previous results by Strömberg to a broader class of weights

Provided mathematical framework for future PDE analysis

Abstract

We prove $L^p-L^q$ Carleman estimates with convex power weights $|x|^\beta$, extending previous work by J. O. Str\"omberg.